Home / 1,278.24-1,917.34-412.62

Finding the Fourth Proportional to 1,278.24, 1,917.34 and 412.62

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Solution

The fourth proportional to 1,278.24, 1,917.34 and 412.62 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.24 : 1,917.34 = 412.62 : x
  2. Step 2: Convert to fraction form
    1,278.24/1,917.34 = 412.62/x
  3. Step 3: Cross multiply
    1,278.24x = 1,917.34 × 412.62
  4. Step 4: Simplify right side
    1,278.24x = 791,132.83
  5. Step 5: Solve for x
    x = 791,132.83/1,278.24
  6. Step 6: Final answer
    x = 618.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.